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240142716 = 2232113171913
BaseRepresentation
bin11100101000001…
…00100101111100
3121201212111212200
432110010211330
5442434031331
635455031500
75644115352
oct1624044574
9551774780
10240142716
11113610860
126850b590
133a9a0aa8
1423c717d2
15161385e6
hexe50497c

240142716 has 72 divisors (see below), whose sum is σ = 664647984. Its totient is φ = 72503040.

The previous prime is 240142703. The next prime is 240142717. The reversal of 240142716 is 617241042.

It is a self number, because there is not a number n which added to its sum of digits gives 240142716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240142717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124576 + ... + 126488.

It is an arithmetic number, because the mean of its divisors is an integer number (9231222).

Almost surely, 2240142716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240142716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332323992).

240142716 is an abundant number, since it is smaller than the sum of its proper divisors (424505268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240142716 is a wasteful number, since it uses less digits than its factorization.

240142716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 240142716 is about 15496.5388393667. The cubic root of 240142716 is about 621.5696578363.

Adding to 240142716 its reverse (617241042), we get a palindrome (857383758).

The spelling of 240142716 in words is "two hundred forty million, one hundred forty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 317 396 634 951 1268 1902 1913 2853 3487 3804 3826 5706 5739 6974 7652 10461 11412 11478 13948 17217 20922 21043 22956 31383 34434 41844 42086 62766 63129 68868 84172 125532 126258 189387 252516 378774 606421 757548 1212842 1819263 2425684 3638526 5457789 6670631 7277052 10915578 13341262 20011893 21831156 26682524 40023786 60035679 80047572 120071358 240142716